C. McLarty, The Rising Sea: Grothendieck on simplicity and generality, in J. J. Gray and K.H. Parshall eds., Episodes in the History of Modern Algebra (1800–1950), Amer. Math. Soc., Providence, RI, 2007.Linkhttp://math.stanford.edu/~vakil/216blog/FOAGjun1113public.pdf
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I can illustrate the ... approach with the ... image of a nut to be opened. The first analogy that came to my mind is of immersing the nut in some softening liquid, and why not simply water? From time to time you rub so the liquid penetrates better, and otherwise you let time pass. The shell becomes more flexible through weeks and months — when the time is ripe, hand pressure is enough, the shell opens like a perfectly ripened avocado! A different image came to me a few weeks ago. The unknown thing to be known appeared to me as some stretch of earth or hard marl, resisting penetration ... the sea advances insensibly in silence, nothing seems to happen, nothing moves, the water is so far off you hardly hear it ... yet finally it surrounds the resistant substance.

— Alexander Grothendieck

What It Means

This is a placeholder explanation generated by the low-overhead model. It interprets "I can illustrate the ... approach with the ... image of a nut to be opened. The first analogy that came to my mind is of immersing the nut in some softening liquid, and why not simply water? From time to time you rub so the liquid penetrates better, and otherwise you let time pass. The shell becomes more flexible through weeks and months — when the time is ripe, hand pressure is enough, the shell opens like a perfectly ripened avocado! A different image came to me a few weeks ago. The unknown thing to be known appeared to me as some stretch of earth or hard marl, resisting penetration ... the sea advances insensibly in silence, nothing seems to happen, nothing moves, the water is so far off you hardly hear it ... yet finally it surrounds the resistant substance." in the context of "C. McLarty, The Rising Sea: Grothendieck on simplicity and generality, in J. J. Gray and K.H. Parshall eds., Episodes in the History of Modern Algebra (1800–1950), Amer. Math. Soc., Providence, RI, 2007.Linkhttp://math.stanford.edu/~vakil/216blog/FOAGjun1113public.pdf" to mean that wisdom is timeless.

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Source: Wikiquote: "Alexander Grothendieck" (Quotes by Grothendieck) The 'What it means' explanation text was generated by Google Gemini Flash (accessed January 18, 2026). https://gemini.google.com/app
Alexander Grothendieck

About Alexander Grothendieck

Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.